Winston-Salem/Forsyth County Schools / Front Page
Hon Alg 2: Unit 4
SYNTHETIC DIVISION WORKSHEET
• Don’t forget ZERO Coefficients for missing degrees
• Solve the binomial divisor equal to zero.
• Multiply and Add Patterns
• If zero value is a fraction, then divide all coefficients by denominator.
1) Perform the following divisions using Synthetic Division.
Is the binomial divisor a factor of the polynomial?
A. [pic]
B. [pic]
C. [pic]
D. [pic]
E. [pic]
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2) Completely FACTOR each polynomial given a known factor.
What are all of the zeros of the polynomial?
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B. [pic]
C. [pic]
D. [pic]
3) For each polynomial, LIST all POSSIBLE RATIONAL ROOTS.
• Find all factors of the leading coefficient and constant value of polynomial.
• ANY RATIONAL ROOTS = ± (Constant Factor over Leading Coefficient Factor)
A. [pic]
B. [pic]
C. [pic]
D. [pic]
E. [pic]
F. [pic]
4) Completely FACTOR and find all zeros for each polynomial:
• List all POSSIBLE RATIONAL ZEROS (Section #3)
• Use Synthetic Division to check each zero. (Section #2)
• When you reach a quadratic equation, perform regular factoring or Quadratic Formula.
A. [pic]
B. [pic]
C. [pic]
D. [pic]
E. [pic]
F. [pic]
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